18892027478016 has 1575 divisors, whose sum is σ = 72378269415067. Its totient is φ = 4907020124160.

The previous prime is 18892027478011. The next prime is 18892027478033. The reversal of 18892027478016 is 61087472029881.

The square root of 18892027478016 is 4346496.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×18892027478016² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18892027478011) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1717457043451 + ... + 1717457043461.

Almost surely, 2^{18892027478016} is an apocalyptic number.

18892027478016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18892027478016 is the 4346496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18892027478016

18892027478016 is an abundant number, since it is smaller than the sum of its proper divisors (53486241937051).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18892027478016 is an frugal number, since it uses more digits than its factorization.

18892027478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 18892027478016 in words is "eighteen trillion, eight hundred ninety-two billion, twenty-seven million, four hundred seventy-eight thousand, sixteen".